NOTE ON NEWTON-TYPE INEQUALITIES INVOLVING TEMPERED FRACTIONAL INTEGRALS

Hezenci F., Budak H.

KOREAN JOURNAL OF MATHEMATICS, cilt.32, sa.2, ss.349-364, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.11568/kjm.2024.32.2.349
  • Dergi Adı: KOREAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.349-364
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

We propose a new method of investigation of an integral equality associated with tempered fractional integrals. In addition to this, several Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established identity. Moreover, we establish some Newton-type inequalities with the help of H & ouml;lder and power-mean inequality. Furthermore, several new results are presented by using special choices of obtained inequalities.